Question

The figure is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

Answer 1

We have a figure that is rotated 90° clockwise.

We have to find the rule of the transformation.

We can find the rule by applying graphically to a point (x,y):

We can see in this picture that if we rotate 90° clockwise a point (x,y), we get a tranformed point that has x-coordinates x' equal to -y and y-coordinates y' equal to x.

Then, we can write the rule as:

$(x,y)\longrightarrow(-y,x)$

Answer: The rule is (x,y) --> (-y,x)